Obj. 23 Vectors (Presentation)

download Obj. 23 Vectors (Presentation)

of 17

Transcript of Obj. 23 Vectors (Presentation)

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    1/17

    Mln'

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    2/17

    Omgoavps dg` Mlnaopjas

    Saopm|s dg` Saopm| Mva|dpjmgs(Mln' /

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    3/17

    Saopm|s

    Edbgjpq`a js d rm|` qsa` pm `aso|jla pha sj~a mc

    smeaphjgb) sqoh ds ?1 il m| 466 evh' D saopm| tqdgpjpzjs d tqdgpjpz phdp hds lmph edbgjpq`a

    dg` `j|aopjmg' Cm| axdevia) 36 evh adp|av|asagps d

    aopm| tqdgpjpz'

    D aopm| tqdgpjpz js mcpag |av|asagpa` rjph d `j|aopa`

    ijga sabeagp odiia` d saopm|'

    Pha iagbph mc pha aopm| |av|asagps pha edbgjpq`a mc

    pha aopm| tqdgpjpz' Pha `j|aopjmg mc pha aopm| |av|asagps pha `j|aopjmg mc

    pha aopm| tqdgpjpz'

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    4/17

    Saopm|s

    Jg d omm|`jgdpa vidga) d aopm| rjph jps ag`vmjgp dp pha

    vmjgp(d) l* js r|jppag d) l) smq 5 d) l

    Pha gqela|s d dg` l d|a phahm|j~mgpdidg` sa|pjodi omevmgagp

    mc pha aopm|'

    Pha vmsjpja dgbia lapraag pha

    x%dxjs dg` pha aopm| js pha`j|aopjmg dgbia cm| pha aopm|'d

    l

    (d) l*

    q

    q 5 d) l

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    5/17

    Edbgjpq`a dg` @j|aopjmg Dgbia

    Pha edbgjpq`a mc pha aopm| q 5 d) l js bjag lz

    Pha `j|aopjmg dgbia sdpjscjas

    d

    l

    (d) l*

    q

    q 5 d) l

    < Cjg` pha edbgjpq`a dg` `j|aopjmg dgbia cm|

    q 5 1) 0'

    Edbgjpq`a>

    @j|aopjmg dgbia>

    ( *5 +<

    @j|aopjmg dgbia>

    045q

    404'?5

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    8/17

    Hm|j~mgpdi # Sa|pjodi Omevmgagps

    Pha hm|j~mgpdi dg` a|pjodi omevmgagps) |asvaopjaiz) mc

    d aopm| q hdjgb edbgjpq`a dg` `j|aopjmg dgbia d|abjag lz

    q

    omsd 5 q sjgl 5 q

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    9/17

    Hm|j~mgpdi # Sa|pjodi Omevmgagps

    Axdevia> Saopm| s hds edbgjpq`a 40'1 dg` `j|aopjmg

    dgbia

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    10/17

    Saopm| D``jpjmg

    Pm cjg` pha sqe mc prm aopm|s d dg` l) ra vidoa pha

    jgjpjdi vmjgp mc aopm| l dp pha pa|ejgdi vmjgp mc aopm| d'

    Dgmpha| rdz pm cjg` pha sqe mc prm aopm|s js pm pq|g

    phae jgpm d vd|diiaimb|de'

    d

    ld + l

    d

    ld + l

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    11/17

    Saopm| D``jpjmg

    Pha aopm| sqe mcd dg` l js odiia` pha |aqipdgpmc

    aopm|s d dg` l'

    \aodii phdp d vd|diiaimb|de js d tqd`|jidpa|di rhmsa

    Mvvmsjpa sj`as d|a vd|diiai Mvvmsjpa sj`as d|a omgb|qagp

    Mvvmsjpa dgbias d|a omgb|qagp

    Omgsaoqpja dgbias d|a sqvviaeagpd|z

  • 8/2/2019 Obj. 23 Vectors (Presentation)

    12/17

    Saopm| D``jpjmg

    Axdevia> Prm cm|oas mc ?< dg` 08 garpmgs dop mg d

    vmjgp jg pha vidga' Jc pha dgbia lapraag pha cm|oas js 23)cjg` pha edbgjpq`a mc pha |asqipdgp aopm|'

    ? (d*q

    +s

    ) (l*